Bilinear expansion of Schur functions in Schur $Q$-functions: a fermionic approach

Autor:	Harnad, J., Orlov, A. Yu.
Rok vydání:	2020
Předmět:	Mathematical Physics Mathematics - Combinatorics Mathematics - Group Theory Mathematics - Rings and Algebras Nonlinear Sciences - Exactly Solvable and Integrable Systems 05E05 05A17
Zdroj:	Proc. Amer. Math. Soc. 149, 4117-4131 (2021)
Druh dokumentu:	Working Paper
DOI:	10.1090/proc/15529
Popis:	An identity is derived expressing Schur functions as sums over products of pairs of Schur $Q$-functions, generalizing previously known special cases. This is shown to follow from their representations as vacuum expectation values (VEV's) of products of either charged or neutral fermionic creation and annihilation operators, Wick's theorem and a factorization identity for VEV's of products of two mutually anticommuting sets of neutral fermionic operators. Comment: 17 pages. Typos corrected. Title word order changed. References updated
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2008.13734 Zobrazit plný text záznamu View this record from Arxiv